Search a number
-
+
2200344000000 = 29356175393
BaseRepresentation
bin100000000001001110101…
…110001111011000000000
321210100110202102112202020
4200001032232033120000
5242022301031000000
64402454000121440
7314653401256356
oct40011656173000
97710422375666
102200344000000
11779184909303
122b6536906280
1312c650c18733
14786d65197d6
153c381752ba0
hex2004eb8f600

2200344000000 has 560 divisors, whose sum is σ = 7759675362384. Its totient is φ = 552140800000.

The previous prime is 2200343999969. The next prime is 2200344000047. The reversal of 2200344000000 is 4430022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407997304 + ... + 408002696.

Almost surely, 22200344000000 is an apocalyptic number.

2200344000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879837681192).

2200344000000 is an abundant number, since it is smaller than the sum of its proper divisors (5559331362384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200344000000 is an frugal number, since it uses more digits than its factorization.

2200344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 2200344000000 its reverse (4430022), we get a palindrome (2200348430022).

The spelling of 2200344000000 in words is "two trillion, two hundred billion, three hundred forty-four million", and thus it is an aban number.